Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 150. Weak mixing of irrational triangular billiards

Family claims › Dynamical systems and ergodic theory · lines 1068–1073

OpenAI@2026-10-07#rem:oai-150

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Proves that the billiard flow in every nondegenerate Euclidean triangle with at least one angle irrational relative to is weakly mixing for normalized area times uniform direction. This strengthens ergodicity on the entire irrational-angle class, with no genericity or Diophantine restrictions.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

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